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Simplifying 40a2 + -16ab + -24a = 0 Reorder the terms: -24a + -16ab + 40a2 = 0 Solving -24a + -16ab + 40a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a'. 8a(-3 + -2b + 5a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-3 + -2b + 5a)' equal to zero and attempt to solve: Simplifying -3 + -2b + 5a = 0 Reorder the terms: -3 + 5a + -2b = 0 Solving -3 + 5a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5a + 3 + -2b = 0 + 3 Reorder the terms: -3 + 3 + 5a + -2b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5a + -2b = 0 + 3 5a + -2b = 0 + 3 Combine like terms: 0 + 3 = 3 5a + -2b = 3 Add '2b' to each side of the equation. 5a + -2b + 2b = 3 + 2b Combine like terms: -2b + 2b = 0 5a + 0 = 3 + 2b 5a = 3 + 2b Divide each side by '5'. a = 0.6 + 0.4b Simplifying a = 0.6 + 0.4bSolution
a = {0, 0.6 + 0.4b}
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